Find the cross and v= product uxv² where û =8i +25 - 2k (-3,-1,8)

Q: f(x) = (8 - x)(x + 1)²

A: Given: To Find:(A) To find the critical numbers of f, if any.(B) To find the open intervals on which…

Q: Suppose that f(x) r'(x) = 4²x+5]n(4) - s+2 + 5x Find f'(x). #

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Q: Differentiate f(x) = CH +5 -X+1 K x + 64 3 7 2x + 320x²+2x 4 3 3x pa 64

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Q: The rational expression ( 8x² + 3x)/((x² + 1)(x² + 4)) has partial fractions expansion Ax+ B Cx + D…

A: The rational expression  has partial fractions expansion .To find the value of A.

Q: In Exercises 7-12, solve the given initial-value problem. dy dt 7. dy dt 11. dy 9. als als dt - dt =…

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Q: h(x) P X 1 2x

A: we are given a function and we need to find out where it is concave up and concave down.

Q: Determine f(x) if f(x)= ax^2+ bx + c so that f''(x) = 6, f'(2) = 13 and f(2) = -1. Thanks!

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Q: Match the graph of the function on the right with the graph of its derivative. Choose the correct…

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Q: Consider the following series and level of accuracy. 00 Σ n = (-1)^50¹2 (104) + Determine the least…

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Q: Find dy dx dy dx ||| at (-6, 1) if xy = X 18/ x + 3 a (Round your answer to four decimal places.)

A: To find dy/dx at (-6,1) of

Q: Find the limit, if it exists, or type N if it does not exist. (x + 25y)² x² +25²y² lim (x,y) →(0,0)

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Q: Let f(x) = In[x4(x + 6) (x2 + 4)2]. Find f'(x). f'(x) =

A: We need to find derivative of f(x).

Q: If z = 7x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: 217 23 14. Find the distance between P1(7, 101) and P2 (5,-) on the polar plane.

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Q: Suppose C'(x), R(x), and P(x) are the total cost, revenue, and profit of producing a items. Match…

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Q: Find the indicated partial derivative. 4 f(x, y) = y sin-¹(xy); f2, (², -1/-) =

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Q: (A) find the critical numbers of f, if any (B) find the open intervals on which the function is…

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Q: 4. (20%) Derive the quotient rule du dv V -U dx dx V² dy dx = (la) if y = 40 (1b)

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Q: From 2011 to 2020, the median weekly usual earnings in natural resource, construction, and…

A: The objective of the question is to find the second derivative of the function E(x) = 350x − 31x −…

Q: Use one of the reduction formulas shown to the right (which are valid for a # 0) to evaluate the…

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Q: Given the following polynomial, p(x)=3x³ (3x + Perform the Leading Coefficient Test by answering the…

A: P(x)=3x^3(3x+1)^2(2-x)

Q: x² sin x (x, y) (0,0) x² + y² Determine whether lim exists.

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Q: Find the distance from the point (0, 4, -1) to the plane 3x − 3y + 2z = 4.

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Q: to - if r≥ 1 and a < 0. prove that the geometric series Σ Σ ar" diverge n n=0

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Q: Find dy dx dy dx = at (-6, 1) if xy = X 18/ x + 3 (Round your answer to four decimal places.)

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Q: Find the derivative of the function. g(x) = 9e√x g'(x)=

A: The objective of this question is to find the derivative of the function g(x) = 9e^(sqrt(x)).

Q: The formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74…

A: The formula for wind chill C (in degrees Fahrenheit) is given bywhere v is the wind speed in miles…

Q: Evaluate the following integral using integration by parts. 1 In 7x dx In 7x dx = (Type an exact…

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Q: Find the derivative of the vector function r'(t) = ( r(t) = ln(12 – t²)i + √11 +tj +2e-5t k > ID 9 9

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Q: 1) Let's consider the reflection of point P (an atom in 3D as depicted below) through the horizontal…

A: This answer is given below.Explanation:

Q: Find the maximum rate of change of the function f(x, y) = 4y³ X at the point (2,1)

A: To find the maximum rate of change of the function  at the point .

Q: The cube root of 125 is 5. How much larger is the cube root of 126.2? Estimate using the Linear…

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Q: Let E be the solid region in the first octant that lies inside sphere x 2 + y 2 + (z − 1) 2 = 1. The…

A: The objective of the question is to describe the solid region E in cylindrical and spherical…

Q: Water is leaking out of an inverted conical tank at a rate of 10300 cubic centimeters per min at the…

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Q: Find all the second order x f(x,y) = Z²+y х+у partial derivatives

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Q: R(s, t) = G(u(s, t), v(s, t)), where G, u, and vare differentiable, and the following applies. v(7,…

A: Given that

Q: Consider the following. sin(20) 2 - 3 sin(0) Use the substitution u = sin(0) to rewrite the given…

A: The given integral

Q: z = y² sin (3x) + 5y Calculate the derivatives. You do not need to simplify your answers. Əz dx 1.…

A: z=y2+7t,y=8st

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

A: given acceleration function and initial conditionsa(t) = −cos(t)i − sin(t)jv(0) = j + k,  r(0) = i

Q: The marginal cost producing the (x + 1)st, or next item. at a given production level æ approximates…

A: Need to put the correct word in the blank for the question number 3.

Q: The temperature at a point  (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

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Q: The demand function for a product is given by p(x)-80-0.018x, where x is the number of units of the…

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Q: Suppose that the concentration C of a medication in the bloodstream thours after an injection is…

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Q: a. Evaluate b. Evaluate S √x+3 X a. Evaluate dx using integration by parts. x + 3 c. Verify that…

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Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: 5. A rock is tossed from a height of 2 meters at an initial velocity of 30 m/s at an angle of 20°…

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Q: Find the Maclaurin polynomial of degree 3 for the function. f(x) = e-x

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Q: A table of values for f, g, f, and g' is given. F(x) g(x) g(x) X -8 -7 -6 -8 -2 -7 -7 (a) If h(x) =…

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Q: Find the limit of an= cos^n(5/sqrt(n)) = [cos(5/sqrt(n))]^n

A: The limit of the given sequence is 1 as n approaches infinityExplanation:To find the limit of the…

Q: help

A: The solution is given below please refer to the solution and if you have any doubt with regards to…